Airfoil shape for turbine bucket and turbine incorporating same

ABSTRACT

A turbine bucket is provided including a bucket airfoil having an airfoil shape, the bucket airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table 1 wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances in inches by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil in inches, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z, the airfoil profile sections at Z distances being joined smoothly with one another to form a complete airfoil shape.

BACKGROUND OF THE INVENTION

The present invention relates to an airfoil for a bucket of a stage of a gas turbine and particularly relates to a shape defining a turbine bucket airfoil profile.

In a gas turbine, many system requirements should be met at each stage of a gas turbine's flow path section to meet design goals. These design goals include, but are not limited to, overall improved efficiency and airfoil loading capability. For example, and in no way limiting of the invention, a blade of a compressor should achieve thermal and mechanical operating requirements for that particular stage. Further, for example, and in no way limiting of the invention, a blade or bucket of a turbine should achieve thermal and mechanical operating requirements for that particular stage.

BRIEF DESCRIPTION OF THE INVENTION

An aspect of the present invention may be embodied by a turbine bucket including a bucket airfoil having an airfoil shape, the bucket airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table 1 wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances in inches by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil in inches, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z, the airfoil profile sections at Z distances being joined smoothly with one another to form a complete airfoil shape.

An aspect of the present invention may be embodied in a turbine bucket including a bucket airfoil having a suction-side uncoated nominal airfoil profile substantially in accordance with suction-side Cartesian coordinate values of X, Y and Z set forth in Table 1 wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances in inches by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil in inches, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each Z distance, the airfoil profile sections at the Z distances being joined smoothly with one another to form a complete suction-side airfoil shape, the X, Y and Z distances being scalable as a function of the same constant or number to provide a scaled-up or scaled-down airfoil.

An aspect of the present invention may be embodied in a turbine comprising a turbine wheel having a plurality of buckets, each of the buckets including an airfoil having a suction-side airfoil shape, the airfoil having a nominal profile substantially in accordance with suction-side Cartesian coordinate values of X, Y and Z set forth in Table 1 wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil, and wherein X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections at each Z distance, the airfoil profile sections at the Z distances being joined smoothly with one another to form a complete suction-side airfoil shape.

BRIEF DESCRIPTION OF THE DRAWINGS

These and other objects and advantages of this invention, will be more completely understood and appreciated by careful study of the following more detailed description of the presently preferred example embodiments of the invention taken in conjunction with the accompanying drawings, in which:

FIG. 1 is a schematic representation of a hot gas path through multiple stages of a gas turbine and illustrates a bucket airfoil according to an example embodiment of the present invention; and

FIG. 2 is a perspective view of a bucket according to an example embodiment of the present invention.

DETAILED DESCRIPTION OF THE INVENTION

Referring now to the drawings, particularly to FIG. 1, there is illustrated a hot gas path, generally designated 10, of a gas turbine 12 including a plurality of turbine stages. Three stages are illustrated. For example, the first stage comprises a plurality of circumferentially spaced nozzles 14 and buckets 16. The nozzles are circumferentially spaced one from the other and fixed about the axis of the rotor. The first stage buckets 16, of course, are mounted on the turbine rotor 17. A second stage of the turbine 12 is also illustrated, including a plurality of circumferentially spaced nozzles 18 and a plurality of circumferentially spaced buckets 20 mounted on the rotor. The third stage is also illustrated including a plurality of circumferentially spaced nozzles 22 and buckets 24 mounted on rotor 17. It will be appreciated that the nozzles and buckets lie in the hot gas path 10 of the turbine, the direction of flow of the hot gas through the hot gas path 10 being indicated by the arrow 26.

Referring to FIG. 2, it will be appreciated that the buckets have a bucket root 32 mounted on a rotor wheel, not shown in detail, forming part of rotor 17. It will also be appreciated that each bucket 24 has a bucket airfoil 34 as illustrated in FIG. 2. The airfoil 34 has a pressure side 51 and a suction side 52. The pressure side is shown in FIG. 2 and the suction side is located on the opposing side of the airfoil 34. Thus, each of the buckets 24 has a bucket airfoil profile at any cross-section from the bucket platform or root to the bucket tip 36 in the shape of an airfoil 34. The base 38 is at or near the bottom of the airfoil 34 and the tip is at or near the top of the airfoil 34. The base 38 corresponds to the non-dimensional Z value of Table 1 at Z equals 0. The tip 36 of the bucket airfoil corresponds to the non-dimensional Z value of Table 1 at Z equals 100. The X, Y, and Z values are given in percentage values of the airfoil length. As one example only, the height of the turbine bucket or airfoil 34 may be from about 10 inches to about 40 inches. However, it is to be understood that heights below or above this range may also be employed as desired in the specific application.

A gas turbine hot gas path requires airfoils that meet system requirements of aerodynamic and mechanical blade loading and efficiency. To define the airfoil shape of each bucket airfoil, there is a unique set or loci of points in space that meet the stage requirements and can be manufactured. This unique loci of points meets the requirements for stage efficiency and are arrived at by iteration between aerodynamic and mechanical loadings enabling the turbine to run in an efficient, safe and smooth manner. These points are unique and specific to the system and are not obvious to those skilled in the art. The loci which defines the bucket airfoil profile of the invention comprises a set of about 2,200 points with X, Y and Z dimensions relative to a reference origin coordinate system. The Cartesian coordinate system of X, Y and Z values given in Table 1 below defines the profile of the bucket airfoil at various locations along its length. Table 1 lists data for a non-coated airfoil, and the envelope/tolerance for the coordinates is about +/−5% in a direction normal to any airfoil surface location. The point data origin is the leading edge of the root. The coordinate values for the X, Y and Z coordinates are set forth in non-dimensionalized units by the blade height in Table 1 although other units of dimensions may be used when the values are appropriately converted. The X, Y, and Z values set forth in Table 1 are also expressed in non-dimensional form (X, Y, and Z) from 0% to 100% of the blade or airfoil height. To convert the Z value to a Z coordinate value, e.g., in inches, the non-dimensional Z value given in Table 1 is multiplied by the Z length of the airfoil in inches. As described above, the Cartesian coordinate system has orthogonally-related X, Y and Z axes and the X axis lies generally parallel to the turbine rotor centerline, i.e., the rotary axis and a positive X coordinate value is axial toward the aft, i.e., exhaust end of the turbine. The positive Y coordinate value extends tangentially in the direction of rotation of the rotor and the positive Z coordinate value is radially outwardly toward the bucket tip. All the values in Table 1 are given at room temperature and are unfilleted.

By defining X and Y coordinate values at selected locations in a Z direction normal to the X, Y plane, the profile section or airfoil shape of the bucket airfoil, at each Z distance along the length of the airfoil can be ascertained. By connecting the X and Y values with smooth continuing arcs, each profile section at each distance Z is fixed. The airfoil profiles of the various surface locations between the distances Z are determined by smoothly connecting the adjacent profile sections to one another to form the airfoil profile.

The Table 1 values are generated and shown to four decimal places for determining the profile of the airfoil. As the blade heats up in surface, stress and temperature will cause a change in the X, Y and Z's. Accordingly, the values for the profile given in Table I represent ambient, non-operating or non-hot conditions (e.g., room temperature) and are for an uncoated airfoil.

There are typical manufacturing tolerances as well as coatings which must be accounted for in the actual profile of the airfoil. Each section is joined smoothly with the other sections to form the complete airfoil shape. It will therefore be appreciated that +/− typical manufacturing tolerances, i.e., +/− values, including any coating thicknesses, are additive to the X and Y values given in Table I below. Accordingly, a distance of +/−5% in a direction normal to any surface location along the airfoil profile defines an airfoil profile envelope for this particular bucket airfoil design and turbine, i.e., a range of variation between measured points on the actual airfoil surface at nominal cold or room temperature and the ideal position of those points as given in the Table below at the same temperature. The data is scalable and the geometry pertains to all aerodynamic scales, at, above and/or below a 3000-3600 RPM range. The bucket airfoil design is robust to this range of variation without impairment of mechanical and aerodynamic functions.

TABLE 1 N Location X Y Z 1 Suction-Side 0.00000 0.00000 0 2 Suction-Side −0.03198 0.38032 0 3 Suction-Side 0.15055 0.72374 0 4 Suction-Side 0.38180 1.03862 0 5 Suction-Side 0.63124 1.33973 0 6 Suction-Side 0.89643 1.62706 0 7 Suction-Side 1.17196 1.90455 0 8 Suction-Side 1.45387 2.17466 0 9 Suction-Side 1.74268 2.43838 0 10 Suction-Side 2.03641 2.69619 0 11 Suction-Side 2.33555 2.94809 0 12 Suction-Side 2.63911 3.19410 0 13 Suction-Side 2.94662 3.43518 0 14 Suction-Side 3.25904 3.67036 0 15 Suction-Side 3.57491 3.90062 0 16 Suction-Side 3.89520 4.12497 0 17 Suction-Side 4.21894 4.34391 0 18 Suction-Side 4.54662 4.55695 0 19 Suction-Side 4.87823 4.76408 0 20 Suction-Side 5.21427 4.96384 0 21 Suction-Side 5.55424 5.15670 0 22 Suction-Side 5.89865 5.34170 0 23 Suction-Side 6.24748 5.51784 0 24 Suction-Side 6.60074 5.68512 0 25 Suction-Side 6.95744 5.84502 0 26 Suction-Side 7.31808 5.99656 0 27 Suction-Side 7.68167 6.14022 0 28 Suction-Side 8.04772 6.27651 0 29 Suction-Side 8.41722 6.40492 0 30 Suction-Side 8.78868 6.52546 0 31 Suction-Side 9.16310 6.63764 0 32 Suction-Side 9.53998 6.74194 0 33 Suction-Side 9.91882 6.83739 0 34 Suction-Side 10.30012 6.92448 0 35 Suction-Side 10.68290 7.00320 0 36 Suction-Side 11.06765 7.07208 0 37 Suction-Side 11.45387 7.13260 0 38 Suction-Side 11.84157 7.18327 0 39 Suction-Side 12.23026 7.22411 0 40 Suction-Side 12.61993 7.25560 0 41 Suction-Side 13.01009 7.27675 0 42 Suction-Side 13.40123 7.28807 0 43 Suction-Side 13.79188 7.28856 0 44 Suction-Side 14.18253 7.27823 0 45 Suction-Side 14.57319 7.25707 0 46 Suction-Side 14.96285 7.22509 0 47 Suction-Side 15.35105 7.18130 0 48 Suction-Side 15.73825 7.12669 0 49 Suction-Side 16.12349 7.06125 0 50 Suction-Side 16.50677 6.98401 0 51 Suction-Side 16.88758 6.89545 0 52 Suction-Side 17.26544 6.79557 0 53 Suction-Side 17.64034 6.68487 0 54 Suction-Side 18.01181 6.56335 0 55 Suction-Side 18.37983 6.43100 0 56 Suction-Side 18.74391 6.28930 0 57 Suction-Side 19.10406 6.13727 0 58 Suction-Side 19.46027 5.97638 0 59 Suction-Side 19.81205 5.80664 0 60 Suction-Side 20.16039 5.62903 0 61 Suction-Side 20.50480 5.44354 0 62 Suction-Side 20.84526 5.25117 0 63 Suction-Side 21.18180 5.05240 0 64 Suction-Side 21.51488 4.84772 0 65 Suction-Side 21.84403 4.63764 0 66 Suction-Side 22.17023 4.42214 0 67 Suction-Side 22.49348 4.20172 0 68 Suction-Side 22.81328 3.97737 0 69 Suction-Side 23.13014 3.74859 0 70 Suction-Side 23.44453 3.51587 0 71 Suction-Side 23.75597 3.27970 0 72 Suction-Side 24.06544 3.04108 0 73 Suction-Side 24.37245 2.79902 0 74 Suction-Side 24.67798 2.55498 0 75 Suction-Side 24.98106 2.30849 0 76 Suction-Side 25.28266 2.05953 0 77 Suction-Side 25.58229 1.80861 0 78 Suction-Side 25.88044 1.55523 0 79 Suction-Side 26.17663 1.30037 0 80 Suction-Side 26.47085 1.04354 0 81 Suction-Side 26.76408 0.78475 0 82 Suction-Side 27.05535 0.52448 0 83 Suction-Side 27.34563 0.26224 0 84 Suction-Side 27.63444 −0.00098 0 85 Suction-Side 27.92226 −0.26568 0 86 Suction-Side 28.20861 −0.53186 0 87 Suction-Side 28.49397 −0.79902 0 88 Suction-Side 28.77786 −1.06765 0 89 Suction-Side 29.06027 −1.33776 0 90 Suction-Side 29.34170 −1.60935 0 91 Suction-Side 29.62165 −1.88192 0 92 Suction-Side 29.90012 −2.15646 0 93 Suction-Side 30.17712 −2.43247 0 94 Suction-Side 30.45215 −2.70996 0 95 Suction-Side 30.72571 −2.98942 0 96 Suction-Side 30.99779 −3.26986 0 97 Suction-Side 31.26790 −3.55277 0 98 Suction-Side 31.53752 −3.83567 0 99 Suction-Side 31.76039 −4.15498 0 100 Suction-Side 31.80320 −4.53776 0 101 Pressure-Side 31.61968 −4.87626 0 102 Pressure-Side 31.32399 −5.04551 0 103 Pressure-Side 30.98253 −5.04010 0 104 Pressure-Side 30.68930 −4.86544 0 105 Pressure-Side 30.43739 −4.62927 0 106 Pressure-Side 30.18401 −4.39508 0 107 Pressure-Side 29.92915 −4.16285 0 108 Pressure-Side 29.67232 −3.93210 0 109 Pressure-Side 29.41353 −3.70381 0 110 Pressure-Side 29.15326 −3.47749 0 111 Pressure-Side 28.89053 −3.25363 0 112 Pressure-Side 28.62632 −3.03173 0 113 Pressure-Side 28.35966 −2.81279 0 114 Pressure-Side 28.09102 −2.59582 0 115 Pressure-Side 27.82042 −2.38180 0 116 Pressure-Side 27.54785 −2.17023 0 117 Pressure-Side 27.27331 −1.96162 0 118 Pressure-Side 26.99631 −1.75547 0 119 Pressure-Side 26.71734 −1.55228 0 120 Pressure-Side 26.43641 −1.35203 0 121 Pressure-Side 26.15351 −1.15474 0 122 Pressure-Side 25.86814 −0.96039 0 123 Pressure-Side 25.58081 −0.76950 0 124 Pressure-Side 25.29102 −0.58204 0 125 Pressure-Side 24.99926 −0.39754 0 126 Pressure-Side 24.70504 −0.21697 0 127 Pressure-Side 24.40886 −0.04034 0 128 Pressure-Side 24.11070 0.13333 0 129 Pressure-Side 23.81009 0.30258 0 130 Pressure-Side 23.50750 0.46839 0 131 Pressure-Side 23.20246 0.62977 0 132 Pressure-Side 22.89545 0.78721 0 133 Pressure-Side 22.58598 0.94022 0 134 Pressure-Side 22.27454 1.08881 0 135 Pressure-Side 21.96113 1.23296 0 136 Pressure-Side 21.64526 1.37220 0 137 Pressure-Side 21.32792 1.50701 0 138 Pressure-Side 21.00812 1.63690 0 139 Pressure-Side 20.68635 1.76187 0 140 Pressure-Side 20.36261 1.88143 0 141 Pressure-Side 20.03690 1.99557 0 142 Pressure-Side 19.70972 2.10431 0 143 Pressure-Side 19.38007 2.20763 0 144 Pressure-Side 19.04945 2.30504 0 145 Pressure-Side 18.71636 2.39656 0 146 Pressure-Side 18.38229 2.48216 0 147 Pressure-Side 18.04625 2.56138 0 148 Pressure-Side 17.70923 2.63419 0 149 Pressure-Side 17.37073 2.70062 0 150 Pressure-Side 17.03075 2.76113 0 151 Pressure-Side 16.68979 2.81525 0 152 Pressure-Side 16.34834 2.86347 0 153 Pressure-Side 16.00590 2.90578 0 154 Pressure-Side 15.66248 2.94219 0 155 Pressure-Side 15.31907 2.97220 0 156 Pressure-Side 14.97466 2.99680 0 157 Pressure-Side 14.63026 3.01550 0 158 Pressure-Side 14.28536 3.02829 0 159 Pressure-Side 13.94047 3.03567 0 160 Pressure-Side 13.59557 3.03715 0 161 Pressure-Side 13.25018 3.03272 0 162 Pressure-Side 12.90529 3.02288 0 163 Pressure-Side 12.56039 3.00763 0 164 Pressure-Side 12.21599 2.98696 0 165 Pressure-Side 11.87208 2.96089 0 166 Pressure-Side 11.52866 2.92940 0 167 Pressure-Side 11.18524 2.89299 0 168 Pressure-Side 10.84280 2.85117 0 169 Pressure-Side 10.50086 2.80443 0 170 Pressure-Side 10.15990 2.75277 0 171 Pressure-Side 9.81943 2.69619 0 172 Pressure-Side 9.47995 2.63469 0 173 Pressure-Side 9.14096 2.56876 0 174 Pressure-Side 8.80344 2.49791 0 175 Pressure-Side 8.46642 2.42263 0 176 Pressure-Side 8.13087 2.34244 0 177 Pressure-Side 7.79631 2.25781 0 178 Pressure-Side 7.46322 2.16876 0 179 Pressure-Side 7.13112 2.07528 0 180 Pressure-Side 6.80000 1.97786 0 181 Pressure-Side 6.46986 1.87651 0 182 Pressure-Side 6.14170 1.77073 0 183 Pressure-Side 5.81402 1.66150 0 184 Pressure-Side 5.48831 1.54834 0 185 Pressure-Side 5.16359 1.43173 0 186 Pressure-Side 4.83985 1.31169 0 187 Pressure-Side 4.51759 1.18819 0 188 Pressure-Side 4.19680 1.06175 0 189 Pressure-Side 3.87651 0.93333 0 190 Pressure-Side 3.55670 0.80344 0 191 Pressure-Side 3.23690 0.67355 0 192 Pressure-Side 2.91759 0.54367 0 193 Pressure-Side 2.59729 0.41427 0 194 Pressure-Side 2.27651 0.28684 0 195 Pressure-Side 1.95474 0.16335 0 196 Pressure-Side 1.62952 0.04674 0 197 Pressure-Side 1.30135 −0.05904 0 198 Pressure-Side 0.96777 −0.14711 0 199 Pressure-Side 0.62731 −0.20025 0 200 Pressure-Side 0.28389 −0.17860 0 1 Suction-Side 0.04084 0.59434 10 2 Suction-Side 0.04723 0.97466 10 3 Suction-Side 0.21796 1.32349 10 4 Suction-Side 0.44084 1.64231 10 5 Suction-Side 0.69077 1.94096 10 6 Suction-Side 0.95597 2.22583 10 7 Suction-Side 1.23346 2.49889 10 8 Suction-Side 1.52079 2.76113 10 9 Suction-Side 1.81550 3.01550 10 10 Suction-Side 2.11710 3.26150 10 11 Suction-Side 2.42460 3.50012 10 12 Suction-Side 2.73752 3.73186 10 13 Suction-Side 3.05584 3.95621 10 14 Suction-Side 3.37811 4.17417 10 15 Suction-Side 3.70480 4.38524 10 16 Suction-Side 4.03592 4.59041 10 17 Suction-Side 4.37048 4.78918 10 18 Suction-Side 4.70947 4.98106 10 19 Suction-Side 5.05141 5.16605 10 20 Suction-Side 5.39779 5.34465 10 21 Suction-Side 5.74711 5.51636 10 22 Suction-Side 6.09988 5.68118 10 23 Suction-Side 6.45560 5.83813 10 24 Suction-Side 6.81476 5.98819 10 25 Suction-Side 7.17737 6.13087 10 26 Suction-Side 7.54244 6.26519 10 27 Suction-Side 7.91046 6.39213 10 28 Suction-Side 8.28143 6.51021 10 29 Suction-Side 8.65486 6.62042 10 30 Suction-Side 9.03026 6.72177 10 31 Suction-Side 9.40861 6.81427 10 32 Suction-Side 9.78893 6.89742 10 33 Suction-Side 10.17122 6.97122 10 34 Suction-Side 10.55498 7.03518 10 35 Suction-Side 10.94022 7.08979 10 36 Suction-Side 11.32694 7.13407 10 37 Suction-Side 11.71464 7.16802 10 38 Suction-Side 12.10332 7.19114 10 39 Suction-Side 12.49250 7.20394 10 40 Suction-Side 12.88167 7.20541 10 41 Suction-Side 13.27085 7.19606 10 42 Suction-Side 13.65953 7.17540 10 43 Suction-Side 14.04723 7.14391 10 44 Suction-Side 14.43444 7.10062 10 45 Suction-Side 14.81968 7.04600 10 46 Suction-Side 15.20344 6.97958 10 47 Suction-Side 15.58475 6.90185 10 48 Suction-Side 15.96359 6.81279 10 49 Suction-Side 16.33948 6.71292 10 50 Suction-Side 16.71292 6.60172 10 51 Suction-Side 17.08241 6.47970 10 52 Suction-Side 17.44846 6.34736 10 53 Suction-Side 17.81058 6.20517 10 54 Suction-Side 18.16925 6.05314 10 55 Suction-Side 18.52300 5.89127 10 56 Suction-Side 18.87282 5.72103 10 57 Suction-Side 19.21870 5.54194 10 58 Suction-Side 19.56015 5.35498 10 59 Suction-Side 19.89766 5.16064 10 60 Suction-Side 20.23075 4.95941 10 61 Suction-Side 20.55990 4.75178 10 62 Suction-Side 20.88512 4.53825 10 63 Suction-Side 21.20689 4.31882 10 64 Suction-Side 21.52522 4.09496 10 65 Suction-Side 21.83961 3.86568 10 66 Suction-Side 22.15154 3.63247 10 67 Suction-Side 22.46052 3.39582 10 68 Suction-Side 22.76654 3.15572 10 69 Suction-Side 23.07060 2.91218 10 70 Suction-Side 23.37220 2.66617 10 71 Suction-Side 23.67183 2.41771 10 72 Suction-Side 23.96900 2.16630 10 73 Suction-Side 24.26421 1.91292 10 74 Suction-Side 24.55744 1.65658 10 75 Suction-Side 24.84920 1.39877 10 76 Suction-Side 25.13899 1.13899 10 77 Suction-Side 25.42731 0.87724 10 78 Suction-Side 25.71415 0.61451 10 79 Suction-Side 25.99951 0.34982 10 80 Suction-Side 26.28339 0.08364 10 81 Suction-Side 26.56630 −0.18401 10 82 Suction-Side 26.84772 −0.45264 10 83 Suction-Side 27.12817 −0.72276 10 84 Suction-Side 27.40713 −0.99434 10 85 Suction-Side 27.68512 −1.26691 10 86 Suction-Side 27.96162 −1.54096 10 87 Suction-Side 28.23715 −1.81599 10 88 Suction-Side 28.51119 −2.09200 10 89 Suction-Side 28.78475 −2.36900 10 90 Suction-Side 29.05683 −2.64748 10 91 Suction-Side 29.32841 −2.92645 10 92 Suction-Side 29.59852 −3.20689 10 93 Suction-Side 29.86716 −3.48831 10 94 Suction-Side 30.13481 −3.77073 10 95 Suction-Side 30.40148 −4.05461 10 96 Suction-Side 30.66667 −4.33948 10 97 Suction-Side 30.93087 −4.62534 10 98 Suction-Side 31.19410 −4.91218 10 99 Suction-Side 31.45683 −5.19902 10 100 Suction-Side 31.57835 −5.55966 10 101 Pressure-Side 31.41009 −5.90012 10 102 Pressure-Side 31.08831 −6.02165 10 103 Pressure-Side 30.76605 −5.90111 10 104 Pressure-Side 30.51169 −5.65806 10 105 Pressure-Side 30.25683 −5.41550 10 106 Pressure-Side 30.00049 −5.17442 10 107 Pressure-Side 29.74317 −4.93481 10 108 Pressure-Side 29.48438 −4.69619 10 109 Pressure-Side 29.22460 −4.45904 10 110 Pressure-Side 28.96384 −4.22288 10 111 Pressure-Side 28.70111 −3.98868 10 112 Pressure-Side 28.43788 −3.75547 10 113 Pressure-Side 28.17269 −3.52423 10 114 Pressure-Side 27.90652 −3.29397 10 115 Pressure-Side 27.63936 −3.06568 10 116 Pressure-Side 27.37023 −2.83887 10 117 Pressure-Side 27.10012 −2.61353 10 118 Pressure-Side 26.82854 −2.39016 10 119 Pressure-Side 26.55547 −2.16827 10 120 Pressure-Side 26.28093 −1.94834 10 121 Pressure-Side 26.00492 −1.73038 10 122 Pressure-Side 25.72694 −1.51439 10 123 Pressure-Side 25.44797 −1.30037 10 124 Pressure-Side 25.16654 −1.08881 10 125 Pressure-Side 24.88413 −0.87921 10 126 Pressure-Side 24.59975 −0.67208 10 127 Pressure-Side 24.31341 −0.46790 10 128 Pressure-Side 24.02558 −0.26568 10 129 Pressure-Side 23.73530 −0.06642 10 130 Pressure-Side 23.44354 0.12989 10 131 Pressure-Side 23.14982 0.32325 10 132 Pressure-Side 22.85412 0.51365 10 133 Pressure-Side 22.55597 0.70111 10 134 Pressure-Side 22.25633 0.88462 10 135 Pressure-Side 21.95375 1.06470 10 136 Pressure-Side 21.64920 1.24084 10 137 Pressure-Side 21.34268 1.41304 10 138 Pressure-Side 21.03370 1.58130 10 139 Pressure-Side 20.72226 1.74514 10 140 Pressure-Side 20.40886 1.90455 10 141 Pressure-Side 20.09299 2.05953 10 142 Pressure-Side 19.77515 2.21009 10 143 Pressure-Side 19.45437 2.35523 10 144 Pressure-Side 19.13210 2.49545 10 145 Pressure-Side 18.80689 2.63026 10 146 Pressure-Side 18.48020 2.76015 10 147 Pressure-Side 18.15055 2.88413 10 148 Pressure-Side 17.81943 3.00221 10 149 Pressure-Side 17.48585 3.11439 10 150 Pressure-Side 17.15080 3.22066 10 151 Pressure-Side 16.81328 3.32054 10 152 Pressure-Side 16.47429 3.41402 10 153 Pressure-Side 16.13333 3.50062 10 154 Pressure-Side 15.79090 3.58081 10 155 Pressure-Side 15.44649 3.65412 10 156 Pressure-Side 15.10111 3.72005 10 157 Pressure-Side 14.75424 3.77958 10 158 Pressure-Side 14.40640 3.83124 10 159 Pressure-Side 14.05756 3.87601 10 160 Pressure-Side 13.70775 3.91292 10 161 Pressure-Side 13.35695 3.94293 10 162 Pressure-Side 13.00615 3.96458 10 163 Pressure-Side 12.65437 3.97934 10 164 Pressure-Side 12.30258 3.98573 10 165 Pressure-Side 11.95080 3.98475 10 166 Pressure-Side 11.59951 3.97540 10 167 Pressure-Side 11.24822 3.95818 10 168 Pressure-Side 10.89692 3.93309 10 169 Pressure-Side 10.54711 3.90012 10 170 Pressure-Side 10.19729 3.85879 10 171 Pressure-Side 9.84895 3.80959 10 172 Pressure-Side 9.50209 3.75301 10 173 Pressure-Side 9.15621 3.68856 10 174 Pressure-Side 8.81181 3.61624 10 175 Pressure-Side 8.46937 3.53702 10 176 Pressure-Side 8.12841 3.44994 10 177 Pressure-Side 7.78942 3.35597 10 178 Pressure-Side 7.45240 3.25510 10 179 Pressure-Side 7.11734 3.14785 10 180 Pressure-Side 6.78426 3.03370 10 181 Pressure-Side 6.45363 2.91415 10 182 Pressure-Side 6.12497 2.78868 10 183 Pressure-Side 5.79877 2.65732 10 184 Pressure-Side 5.47405 2.52153 10 185 Pressure-Side 5.15178 2.38081 10 186 Pressure-Side 4.83100 2.23616 10 187 Pressure-Side 4.51169 2.08807 10 188 Pressure-Side 4.19434 1.93702 10 189 Pressure-Side 3.87798 1.78352 10 190 Pressure-Side 3.56212 1.62755 10 191 Pressure-Side 3.24723 1.47109 10 192 Pressure-Side 2.93235 1.31415 10 193 Pressure-Side 2.61648 1.15867 10 194 Pressure-Side 2.30012 1.00615 10 195 Pressure-Side 1.98081 0.85756 10 196 Pressure-Side 1.65855 0.71636 10 197 Pressure-Side 1.33235 0.58549 10 198 Pressure-Side 0.99926 0.47183 10 199 Pressure-Side 0.65732 0.38967 10 200 Pressure-Side 0.30800 0.38672 10 1 Suction-Side 0.44576 1.23149 20 2 Suction-Side 0.48167 1.60836 20 3 Suction-Side 0.65437 1.95031 20 4 Suction-Side 0.87774 2.26273 20 5 Suction-Side 1.12817 2.55351 20 6 Suction-Side 1.39631 2.82804 20 7 Suction-Side 1.67774 3.08930 20 8 Suction-Side 1.96851 3.34022 20 9 Suction-Side 2.26716 3.58180 20 10 Suction-Side 2.57269 3.81402 20 11 Suction-Side 2.88413 4.03838 20 12 Suction-Side 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Suction-Side 21.79533 −6.26716 90 93 Suction-Side 21.94391 −6.47528 90 94 Suction-Side 22.09250 −6.68339 90 95 Suction-Side 22.24157 −6.89102 90 96 Suction-Side 22.39016 −7.09914 90 97 Suction-Side 22.53875 −7.30726 90 98 Suction-Side 22.68782 −7.51538 90 99 Suction-Side 22.83739 −7.72251 90 100 Suction-Side 22.94071 −7.94982 90 101 Pressure-Side 22.82706 −8.16876 90 102 Pressure-Side 22.59533 −8.20123 90 103 Pressure-Side 22.41378 −8.04723 90 104 Pressure-Side 22.26224 −7.85781 90 105 Pressure-Side 22.11218 −7.66691 90 106 Pressure-Side 21.96310 −7.47503 90 107 Pressure-Side 21.81550 −7.28266 90 108 Pressure-Side 21.66888 −7.08930 90 109 Pressure-Side 21.52276 −6.89496 90 110 Pressure-Side 21.37761 −6.70062 90 111 Pressure-Side 21.23346 −6.50529 90 112 Pressure-Side 21.08930 −6.30996 90 113 Pressure-Side 20.94613 −6.11415 90 114 Pressure-Side 20.80295 −5.91784 90 115 Pressure-Side 20.66027 −5.72153 90 116 Pressure-Side 20.51710 −5.52522 90 117 Pressure-Side 20.37442 −5.32891 90 118 Pressure-Side 20.23223 −5.13210 90 119 Pressure-Side 20.09004 −4.93530 90 120 Pressure-Side 19.94785 −4.73850 90 121 Pressure-Side 19.80615 −4.54170 90 122 Pressure-Side 19.66445 −4.34440 90 123 Pressure-Side 19.52276 −4.14711 90 124 Pressure-Side 19.38155 −3.94982 90 125 Pressure-Side 19.24034 −3.75252 90 126 Pressure-Side 19.09914 −3.55523 90 127 Pressure-Side 18.95793 −3.35744 90 128 Pressure-Side 18.81722 −3.15966 90 129 Pressure-Side 18.67601 −2.96236 90 130 Pressure-Side 18.53530 −2.76458 90 131 Pressure-Side 18.39459 −2.56679 90 132 Pressure-Side 18.25387 −2.36851 90 133 Pressure-Side 18.11365 −2.17073 90 134 Pressure-Side 17.97294 −1.97294 90 135 Pressure-Side 17.83272 −1.77466 90 136 Pressure-Side 17.69200 −1.57688 90 137 Pressure-Side 17.55178 −1.37860 90 138 Pressure-Side 17.41156 −1.18032 90 139 Pressure-Side 17.27134 −0.98253 90 140 Pressure-Side 17.13063 −0.78426 90 141 Pressure-Side 16.99041 −0.58647 90 142 Pressure-Side 16.85018 −0.38819 90 143 Pressure-Side 16.70947 −0.19041 90 144 Pressure-Side 16.56925 0.00787 90 145 Pressure-Side 16.42854 0.20566 90 146 Pressure-Side 16.28782 0.40344 90 147 Pressure-Side 16.14711 0.60123 90 148 Pressure-Side 16.00590 0.79902 90 149 Pressure-Side 15.86470 0.99631 90 150 Pressure-Side 15.72349 1.19360 90 151 Pressure-Side 15.58180 1.39090 90 152 Pressure-Side 15.44010 1.58819 90 153 Pressure-Side 15.29840 1.78499 90 154 Pressure-Side 15.15621 1.98180 90 155 Pressure-Side 15.01353 2.17811 90 156 Pressure-Side 14.87085 2.37442 90 157 Pressure-Side 14.72718 2.57023 90 158 Pressure-Side 14.58352 2.76605 90 159 Pressure-Side 14.43887 2.96089 90 160 Pressure-Side 14.29373 3.15523 90 161 Pressure-Side 14.14711 3.34908 90 162 Pressure-Side 13.99951 3.54194 90 163 Pressure-Side 13.85092 3.73383 90 164 Pressure-Side 13.70086 3.92472 90 165 Pressure-Side 13.54932 4.11415 90 166 Pressure-Side 13.39631 4.30258 90 167 Pressure-Side 13.24182 4.49004 90 168 Pressure-Side 13.08487 4.67503 90 169 Pressure-Side 12.92595 4.85855 90 170 Pressure-Side 12.76458 5.04010 90 171 Pressure-Side 12.60025 5.21870 90 172 Pressure-Side 12.43296 5.39483 90 173 Pressure-Side 12.26224 5.56753 90 174 Pressure-Side 12.08807 5.73629 90 175 Pressure-Side 11.90996 5.90160 90 176 Pressure-Side 11.72792 6.06150 90 177 Pressure-Side 11.54096 6.21648 90 178 Pressure-Side 11.34957 6.36556 90 179 Pressure-Side 11.15277 6.50824 90 180 Pressure-Side 10.95105 6.64305 90 181 Pressure-Side 10.74391 6.76950 90 182 Pressure-Side 10.53137 6.88708 90 183 Pressure-Side 10.31390 6.99483 90 184 Pressure-Side 10.09102 7.09127 90 185 Pressure-Side 9.86371 7.17638 90 186 Pressure-Side 9.63247 7.24969 90 187 Pressure-Side 9.39729 7.31021 90 188 Pressure-Side 9.15916 7.35744 90 189 Pressure-Side 8.91907 7.39188 90 190 Pressure-Side 8.67749 7.41304 90 191 Pressure-Side 8.43444 7.42140 90 192 Pressure-Side 8.19188 7.41747 90 193 Pressure-Side 7.94982 7.40221 90 194 Pressure-Side 7.70824 7.37614 90 195 Pressure-Side 7.46814 7.34219 90 196 Pressure-Side 7.22854 7.30135 90 197 Pressure-Side 6.99041 7.25609 90 198 Pressure-Side 6.75178 7.21132 90 199 Pressure-Side 6.51169 7.17343 90 200 Pressure-Side 6.27011 7.16261 90 1 Suction-Side 6.20861 8.51611 100 2 Suction-Side 6.26125 8.75277 100 3 Suction-Side 6.44526 8.92054 100 4 Suction-Side 6.66617 9.03715 100 5 Suction-Side 6.90135 9.12276 100 6 Suction-Side 7.14391 9.18426 100 7 Suction-Side 7.39139 9.22460 100 8 Suction-Side 7.64084 9.24526 100 9 Suction-Side 7.89077 9.24576 100 10 Suction-Side 8.14071 9.22755 100 11 Suction-Side 8.38819 9.19114 100 12 Suction-Side 8.63272 9.13702 100 13 Suction-Side 8.87282 9.06617 100 14 Suction-Side 9.10800 8.98007 100 15 Suction-Side 9.33727 8.87970 100 16 Suction-Side 9.56064 8.76654 100 17 Suction-Side 9.77761 8.64207 100 18 Suction-Side 9.98819 8.50677 100 19 Suction-Side 10.19287 8.36212 100 20 Suction-Side 10.39114 8.20959 100 21 Suction-Side 10.58401 8.04969 100 22 Suction-Side 10.77097 7.88339 100 23 Suction-Side 10.95301 7.71169 100 24 Suction-Side 11.13063 7.53456 100 25 Suction-Side 11.30381 7.35351 100 26 Suction-Side 11.47257 7.16900 100 27 Suction-Side 11.63838 6.98106 100 28 Suction-Side 11.80074 6.79065 100 29 Suction-Side 11.96015 6.59779 100 30 Suction-Side 12.11759 6.40295 100 31 Suction-Side 12.27355 6.20713 100 32 Suction-Side 12.42755 6.00984 100 33 Suction-Side 12.58057 5.81156 100 34 Suction-Side 12.73210 5.61230 100 35 Suction-Side 12.88266 5.41205 100 36 Suction-Side 13.03223 5.21132 100 37 Suction-Side 13.18081 5.00959 100 38 Suction-Side 13.32841 4.80787 100 39 Suction-Side 13.47601 4.60517 100 40 Suction-Side 13.62263 4.40246 100 41 Suction-Side 13.76925 4.19926 100 42 Suction-Side 13.91538 3.99606 100 43 Suction-Side 14.06150 3.79237 100 44 Suction-Side 14.20713 3.58918 100 45 Suction-Side 14.35277 3.38549 100 46 Suction-Side 14.49840 3.18130 100 47 Suction-Side 14.64354 2.97761 100 48 Suction-Side 14.78868 2.77343 100 49 Suction-Side 14.93333 2.56925 100 50 Suction-Side 15.07847 2.36507 100 51 Suction-Side 15.22312 2.16089 100 52 Suction-Side 15.36777 1.95621 100 53 Suction-Side 15.51242 1.75203 100 54 Suction-Side 15.65707 1.54736 100 55 Suction-Side 15.80172 1.34317 100 56 Suction-Side 15.94637 1.13899 100 57 Suction-Side 16.09102 0.93432 100 58 Suction-Side 16.23567 0.73014 100 59 Suction-Side 16.38032 0.52546 100 60 Suction-Side 16.52497 0.32128 100 61 Suction-Side 16.66962 0.11710 100 62 Suction-Side 16.81427 −0.08758 100 63 Suction-Side 16.95892 −0.29176 100 64 Suction-Side 17.10357 −0.49594 100 65 Suction-Side 17.24822 −0.70062 100 66 Suction-Side 17.39287 −0.90480 100 67 Suction-Side 17.53752 −1.10898 100 68 Suction-Side 17.68216 −1.31365 100 69 Suction-Side 17.82731 −1.51784 100 70 Suction-Side 17.97196 −1.72202 100 71 Suction-Side 18.11661 −1.92620 100 72 Suction-Side 18.26175 −2.13038 100 73 Suction-Side 18.40640 −2.33456 100 74 Suction-Side 18.55154 −2.53875 100 75 Suction-Side 18.69619 −2.74293 100 76 Suction-Side 18.84133 −2.94711 100 77 Suction-Side 18.98598 −3.15129 100 78 Suction-Side 19.13112 −3.35547 100 79 Suction-Side 19.27626 −3.55966 100 80 Suction-Side 19.42140 −3.76384 100 81 Suction-Side 19.56654 −3.96802 100 82 Suction-Side 19.71169 −4.17171 100 83 Suction-Side 19.85683 −4.37589 100 84 Suction-Side 20.00197 −4.58007 100 85 Suction-Side 20.14711 −4.78376 100 86 Suction-Side 20.29225 −4.98795 100 87 Suction-Side 20.43739 −5.19164 100 88 Suction-Side 20.58253 −5.39582 100 89 Suction-Side 20.72817 −5.59951 100 90 Suction-Side 20.87331 −5.80369 100 91 Suction-Side 21.01845 −6.00738 100 92 Suction-Side 21.16408 −6.21156 100 93 Suction-Side 21.30923 −6.41525 100 94 Suction-Side 21.45437 −6.61894 100 95 Suction-Side 21.60000 −6.82312 100 96 Suction-Side 21.74563 −7.02681 100 97 Suction-Side 21.89077 −7.23050 100 98 Suction-Side 22.03641 −7.43469 100 99 Suction-Side 22.18303 −7.63739 100 100 Suction-Side 22.26224 −7.86863 100 101 Pressure-Side 22.13776 −8.07577 100 102 Pressure-Side 21.90849 −8.10480 100 103 Pressure-Side 21.72841 −7.95523 100 104 Pressure-Side 21.58032 −7.76777 100 105 Pressure-Side 21.43370 −7.57884 100 106 Pressure-Side 21.28905 −7.38893 100 107 Pressure-Side 21.14539 −7.19803 100 108 Pressure-Side 21.00271 −7.00664 100 109 Pressure-Side 20.86101 −6.81427 100 110 Pressure-Side 20.72030 −6.62140 100 111 Pressure-Side 20.58007 −6.42804 100 112 Pressure-Side 20.43985 −6.23469 100 113 Pressure-Side 20.30012 −6.04084 100 114 Pressure-Side 20.16089 −5.84699 100 115 Pressure-Side 20.02165 −5.65264 100 116 Pressure-Side 19.88192 −5.45879 100 117 Pressure-Side 19.74268 −5.26494 100 118 Pressure-Side 19.60344 −5.07060 100 119 Pressure-Side 19.46470 −4.87675 100 120 Pressure-Side 19.32546 −4.68241 100 121 Pressure-Side 19.18622 −4.48807 100 122 Pressure-Side 19.04748 −4.29373 100 123 Pressure-Side 18.90873 −4.09938 100 124 Pressure-Side 18.76999 −3.90504 100 125 Pressure-Side 18.63124 −3.71070 100 126 Pressure-Side 18.49250 −3.51636 100 127 Pressure-Side 18.35424 −3.32153 100 128 Pressure-Side 18.21550 −3.12718 100 129 Pressure-Side 18.07724 −2.93235 100 130 Pressure-Side 17.93850 −2.73752 100 131 Pressure-Side 17.80025 −2.54317 100 132 Pressure-Side 17.66199 −2.34834 100 133 Pressure-Side 17.52374 −2.15351 100 134 Pressure-Side 17.38598 −1.95867 100 135 Pressure-Side 17.24772 −1.76335 100 136 Pressure-Side 17.10996 −1.56851 100 137 Pressure-Side 16.97220 −1.37319 100 138 Pressure-Side 16.83444 −1.17786 100 139 Pressure-Side 16.69717 −0.98303 100 140 Pressure-Side 16.55990 −0.78721 100 141 Pressure-Side 16.42214 −0.59188 100 142 Pressure-Side 16.28536 −0.39656 100 143 Pressure-Side 16.14809 −0.20074 100 144 Pressure-Side 16.01132 −0.00492 100 145 Pressure-Side 15.87454 0.19090 100 146 Pressure-Side 15.73776 0.38672 100 147 Pressure-Side 15.60098 0.58253 100 148 Pressure-Side 15.46421 0.77835 100 149 Pressure-Side 15.32792 0.97417 100 150 Pressure-Side 15.19114 1.16999 100 151 Pressure-Side 15.05437 1.36581 100 152 Pressure-Side 14.91759 1.56162 100 153 Pressure-Side 14.78081 1.75744 100 154 Pressure-Side 14.64354 1.95326 100 155 Pressure-Side 14.50677 2.14859 100 156 Pressure-Side 14.36950 2.34440 100 157 Pressure-Side 14.23173 2.53973 100 158 Pressure-Side 14.09397 2.73456 100 159 Pressure-Side 13.95572 2.92940 100 160 Pressure-Side 13.81697 3.12374 100 161 Pressure-Side 13.67774 3.31759 100 162 Pressure-Side 13.53752 3.51144 100 163 Pressure-Side 13.39680 3.70431 100 164 Pressure-Side 13.25510 3.89668 100 165 Pressure-Side 13.11242 4.08807 100 166 Pressure-Side 12.96876 4.27897 100 167 Pressure-Side 12.82411 4.46888 100 168 Pressure-Side 12.67798 4.65830 100 169 Pressure-Side 12.53087 4.84625 100 170 Pressure-Side 12.38229 5.03321 100 171 Pressure-Side 12.23173 5.21870 100 172 Pressure-Side 12.07921 5.40221 100 173 Pressure-Side 11.92472 5.58426 100 174 Pressure-Side 11.76777 5.76433 100 175 Pressure-Side 11.60836 5.94244 100 176 Pressure-Side 11.44600 6.11759 100 177 Pressure-Side 11.28020 6.28979 100 178 Pressure-Side 11.11144 6.45855 100 179 Pressure-Side 10.93924 6.62386 100 180 Pressure-Side 10.76310 6.78524 100 181 Pressure-Side 10.58253 6.94170 100 182 Pressure-Side 10.39754 7.09274 100 183 Pressure-Side 10.20763 7.23788 100 184 Pressure-Side 10.01328 7.37614 100 185 Pressure-Side 9.81304 7.50701 100 186 Pressure-Side 9.60787 7.62903 100 187 Pressure-Side 9.39729 7.74121 100 188 Pressure-Side 9.18130 7.84354 100 189 Pressure-Side 8.96039 7.93456 100 190 Pressure-Side 8.73506 8.01427 100 191 Pressure-Side 8.50627 8.08167 100 192 Pressure-Side 8.27405 8.13727 100 193 Pressure-Side 8.03936 8.18204 100 194 Pressure-Side 7.80271 8.21550 100 195 Pressure-Side 7.56556 8.24059 100 196 Pressure-Side 7.32694 8.25830 100 197 Pressure-Side 7.08881 8.27208 100 198 Pressure-Side 6.85018 8.28635 100 199 Pressure-Side 6.61255 8.31046 100 200 Pressure-Side 6.38032 8.36359 100

It will also be appreciated that the airfoil disclosed in the above Table 1 may be scaled up or down geometrically for use in other similar turbine designs. Consequently, the coordinate values set forth in Table 1 may be scaled upwardly or downwardly such that the airfoil profile shape remains unchanged. A scaled version of the coordinates in Table 1 would be represented by X, Y and Z coordinate values of Table 1, with the X, Y and Z non-dimensional coordinate values converted to inches, multiplied or divided by a constant number.

An important term in this disclosure is profile. The profile is the range of the variation between measured points on an airfoil surface and the ideal position listed in Table 1. The actual profile on a manufactured blade will be different than those in Table 1 and the design is robust to this variation meaning that mechanical and aerodynamic function are not impaired. As noted above, a + or −5% profile tolerance is used herein. The X, Y and Z values are all non-dimensionalized relative to the airfoil height.

The disclosed airfoil shape optimizes and is specific to the machine conditions and specifications. It provides a unique profile to achieve 1) interaction between other stages in the high pressure turbine; 2) aerodynamic efficiency; and 3) normalized aerodynamic and mechanical blade loadings. The disclosed loci of points allow the gas turbine or any other suitable turbine to run in an efficient, safe and smooth manner. As also noted, any scale of the disclosed airfoil may be adopted as long as 1) interaction between other stages in the high pressure turbine; 2) aerodynamic efficiency; and 3) normalized aerodynamic and mechanical blade loadings are maintained in the scaled turbine.

This written description uses examples to disclose the invention, including the best mode, and also to enable any person skilled in the art to practice the invention, including making and using any devices or systems and performing any incorporated methods. The patentable scope of the invention is defined by the claims, and may include other examples that occur to those skilled in the art. Such other examples are intended to be within the scope of the claims if they have structural elements that do not differ from the literal language of the claims, or if they include equivalent structural elements with insubstantial differences from the literal languages of the claims. 

The invention claimed is:
 1. A turbine bucket including a bucket airfoil having an airfoil shape, the bucket airfoil having a nominal profile substantially in accordance with Cartesian coordinate values of X, Y and Z set forth in Table 1 wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances in inches by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil in inches, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each distance Z, the airfoil profile sections at Z distances being joined smoothly with one another to form a complete airfoil shape.
 2. The turbine bucket according to claim 1, forming part of a stage of a turbine.
 3. The turbine bucket according to claim 1, wherein the airfoil shape lies in an envelope within +/−5% in a direction normal to any airfoil surface location.
 4. The turbine bucket according to claim 1, wherein a height of the turbine bucket is about 10 inches to about 40 inches.
 5. A turbine bucket including a bucket airfoil having a suction-side uncoated nominal airfoil profile substantially in accordance with suction-side Cartesian coordinate values of X, Y and Z set forth in Table 1 wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances in inches by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil in inches, and wherein X and Y are distances in inches which, when connected by smooth continuing arcs, define airfoil profile sections at each Z distance, the airfoil profile sections at the Z distances being joined smoothly with one another to form a complete suction-side airfoil shape, the X, Y and Z distances being scalable as a function of the same constant or number to provide a scaled-up or scaled-down airfoil.
 6. The turbine bucket according to claim 5, forming part of a stage of a turbine.
 7. The turbine bucket according to claim 5, wherein the suction-side airfoil shape lies in an envelope within +/−5% in a direction normal to any suction-side airfoil surface location.
 8. The turbine bucket according to claim 5, wherein a height of the turbine bucket is about 10 inches to about 40 inches.
 9. A turbine comprising a turbine wheel having a plurality of buckets, each of the buckets including an airfoil having a suction-side airfoil shape, the airfoil having a nominal profile substantially in accordance with suction-side Cartesian coordinate values of X, Y and Z set forth in Table 1 wherein the Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y and Z by a height of the airfoil, and wherein X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections at each Z distance, the airfoil profile sections at the Z distances being joined smoothly with one another to form a complete suction-side airfoil shape.
 10. The turbine according to claim 9, wherein the turbine wheel comprises a stage of the turbine.
 11. The turbine according to claim 9, wherein X represents a distance parallel to the turbine axis of rotation.
 12. The turbine according to claim 9, wherein the suction-side airfoil shape lies in an envelope within +/−5% in a direction normal to any suction-side airfoil surface location.
 13. The turbine according to claim 9, wherein a height of the turbine bucket is about 10 inches to about 40 inches.
 14. The turbine according to claim 9, wherein each of the buckets includes an airfoil having a pressure-side airfoil shape, the airfoil having a nominal profile substantially in accordance with pressure-side Cartesian coordinate values of X, Y and Z set forth in Table 1 wherein the pressure-side Cartesian coordinate values of X, Y and Z are non-dimensional values from 0% to 100% convertible to dimensional distances by multiplying the pressure-side Cartesian coordinate values of X, Y and Z by a height of the airfoil, and wherein X and Y are distances which, when connected by smooth continuing arcs, define airfoil profile sections at each Z distance, the airfoil profile sections at Z distances being joined smoothly with one another to form a complete airfoil shape.
 15. The turbine according to claim 14, wherein the turbine wheel comprises a stage of the turbine.
 16. The turbine according to claim 14, wherein X represents a distance parallel to the turbine axis of rotation.
 17. The turbine according to claim 14, wherein the airfoil shape lies in an envelope within +/−5% in a direction normal to any airfoil surface location.
 18. A turbine according to claim 14, wherein a height of the turbine bucket is about 10 inches to about 40 inches. 